164187
The density of a gas is \(6 \times 10^{-2} \mathrm{~kg} / \mathrm{m}^3\) and the root mean square velocity of the gas molecules is \(500 \mathrm{~m} / \mathrm{s}\). The pressure exerted by the gas on the walls of the vessel is :
164188
A cubic vessel (with face horizontal + vertical) contains and ideal gas at NTP. The vessesl is being carried by a rocket which is moving at a speed of \(500 \mathrm{~ms}^{-1}\) in vertical direction. The pressure of the gas inside the vessel as observed by us on the ground
1 remains the same because \(500 \mathrm{~ms}^{-1}\) is very much smaller thatn \(v_{r m s}\) of the gas.
2 remains the same because motion of the vessel as a whole does not affect the relative motion of the gas molecules and the walls.
3 will increase by a factor equal to \(\left(v_{r m s}^2+(500)^2\right) / v_{r m s}^2\) where \(v_{r m s}\) was the original mean square velocity of the gas.
4 will be different on the top wall and bottom wall of the vessel.
Explanation:
remains the same because motion of the vessel as a whole does not affect the relative motion of the gas molecules and the walls.
NCERT-XI-II-251
7 RBTS PAPER
164189
At what temperature is the r.m.s velocity of a hydrogen molecule equal to that of an oxygen molecule at \(47^{\circ} \mathrm{C}\) :
1 \(80 \mathrm{~K}\)
2 \(-73 \mathrm{~K}\)
3 \(3 \mathrm{~K}\)
4 \(20 \mathrm{~K}\).
Explanation:
\( v_{\text {r.m.s. }} =\sqrt{\frac{3 R T}{M}} \) \( \therefore \quad v_{\text {r.m.s }} =\sqrt{\frac{3 R T_O}{M_O}}=\sqrt{\frac{3 R T_H}{M_H}} \)
164187
The density of a gas is \(6 \times 10^{-2} \mathrm{~kg} / \mathrm{m}^3\) and the root mean square velocity of the gas molecules is \(500 \mathrm{~m} / \mathrm{s}\). The pressure exerted by the gas on the walls of the vessel is :
164188
A cubic vessel (with face horizontal + vertical) contains and ideal gas at NTP. The vessesl is being carried by a rocket which is moving at a speed of \(500 \mathrm{~ms}^{-1}\) in vertical direction. The pressure of the gas inside the vessel as observed by us on the ground
1 remains the same because \(500 \mathrm{~ms}^{-1}\) is very much smaller thatn \(v_{r m s}\) of the gas.
2 remains the same because motion of the vessel as a whole does not affect the relative motion of the gas molecules and the walls.
3 will increase by a factor equal to \(\left(v_{r m s}^2+(500)^2\right) / v_{r m s}^2\) where \(v_{r m s}\) was the original mean square velocity of the gas.
4 will be different on the top wall and bottom wall of the vessel.
Explanation:
remains the same because motion of the vessel as a whole does not affect the relative motion of the gas molecules and the walls.
NCERT-XI-II-251
7 RBTS PAPER
164189
At what temperature is the r.m.s velocity of a hydrogen molecule equal to that of an oxygen molecule at \(47^{\circ} \mathrm{C}\) :
1 \(80 \mathrm{~K}\)
2 \(-73 \mathrm{~K}\)
3 \(3 \mathrm{~K}\)
4 \(20 \mathrm{~K}\).
Explanation:
\( v_{\text {r.m.s. }} =\sqrt{\frac{3 R T}{M}} \) \( \therefore \quad v_{\text {r.m.s }} =\sqrt{\frac{3 R T_O}{M_O}}=\sqrt{\frac{3 R T_H}{M_H}} \)
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7 RBTS PAPER
164187
The density of a gas is \(6 \times 10^{-2} \mathrm{~kg} / \mathrm{m}^3\) and the root mean square velocity of the gas molecules is \(500 \mathrm{~m} / \mathrm{s}\). The pressure exerted by the gas on the walls of the vessel is :
164188
A cubic vessel (with face horizontal + vertical) contains and ideal gas at NTP. The vessesl is being carried by a rocket which is moving at a speed of \(500 \mathrm{~ms}^{-1}\) in vertical direction. The pressure of the gas inside the vessel as observed by us on the ground
1 remains the same because \(500 \mathrm{~ms}^{-1}\) is very much smaller thatn \(v_{r m s}\) of the gas.
2 remains the same because motion of the vessel as a whole does not affect the relative motion of the gas molecules and the walls.
3 will increase by a factor equal to \(\left(v_{r m s}^2+(500)^2\right) / v_{r m s}^2\) where \(v_{r m s}\) was the original mean square velocity of the gas.
4 will be different on the top wall and bottom wall of the vessel.
Explanation:
remains the same because motion of the vessel as a whole does not affect the relative motion of the gas molecules and the walls.
NCERT-XI-II-251
7 RBTS PAPER
164189
At what temperature is the r.m.s velocity of a hydrogen molecule equal to that of an oxygen molecule at \(47^{\circ} \mathrm{C}\) :
1 \(80 \mathrm{~K}\)
2 \(-73 \mathrm{~K}\)
3 \(3 \mathrm{~K}\)
4 \(20 \mathrm{~K}\).
Explanation:
\( v_{\text {r.m.s. }} =\sqrt{\frac{3 R T}{M}} \) \( \therefore \quad v_{\text {r.m.s }} =\sqrt{\frac{3 R T_O}{M_O}}=\sqrt{\frac{3 R T_H}{M_H}} \)
164187
The density of a gas is \(6 \times 10^{-2} \mathrm{~kg} / \mathrm{m}^3\) and the root mean square velocity of the gas molecules is \(500 \mathrm{~m} / \mathrm{s}\). The pressure exerted by the gas on the walls of the vessel is :
164188
A cubic vessel (with face horizontal + vertical) contains and ideal gas at NTP. The vessesl is being carried by a rocket which is moving at a speed of \(500 \mathrm{~ms}^{-1}\) in vertical direction. The pressure of the gas inside the vessel as observed by us on the ground
1 remains the same because \(500 \mathrm{~ms}^{-1}\) is very much smaller thatn \(v_{r m s}\) of the gas.
2 remains the same because motion of the vessel as a whole does not affect the relative motion of the gas molecules and the walls.
3 will increase by a factor equal to \(\left(v_{r m s}^2+(500)^2\right) / v_{r m s}^2\) where \(v_{r m s}\) was the original mean square velocity of the gas.
4 will be different on the top wall and bottom wall of the vessel.
Explanation:
remains the same because motion of the vessel as a whole does not affect the relative motion of the gas molecules and the walls.
NCERT-XI-II-251
7 RBTS PAPER
164189
At what temperature is the r.m.s velocity of a hydrogen molecule equal to that of an oxygen molecule at \(47^{\circ} \mathrm{C}\) :
1 \(80 \mathrm{~K}\)
2 \(-73 \mathrm{~K}\)
3 \(3 \mathrm{~K}\)
4 \(20 \mathrm{~K}\).
Explanation:
\( v_{\text {r.m.s. }} =\sqrt{\frac{3 R T}{M}} \) \( \therefore \quad v_{\text {r.m.s }} =\sqrt{\frac{3 R T_O}{M_O}}=\sqrt{\frac{3 R T_H}{M_H}} \)